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[Merged by Bors] - feat(analysis/normed_space/lp_equiv): equivalences between lp and pi_Lp, bounded_continuous_function #15872

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[Merged by Bors] - feat(analysis/normed_space/lp_equiv): equivalences between lp and pi_Lp, bounded_continuous_function #15872

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@j-loreaux j-loreaux commented Aug 5, 2022 •
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This adds a new file for equivalences between various L^p spaces. We do this in a new file instead of analysis/normed_space/lp_space in order to minimize imports. We begin by establishing the equivalence between lp and pi_Lp when the index type is a fintype, and then proceed to recognize the equivalence between lp (for p = ∞) and bounded_continuous_function when the codomain has various algebraic structures.

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@j-loreaux j-loreaux added awaiting-CI The author would like to see what CI has to say before doing more work. awaiting-review The author would like community review of the PR t-analysis Analysis (normed *, calculus) labels Aug 5, 2022
@mathlib-dependent-issues-bot mathlib-dependent-issues-bot added the blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. label Aug 5, 2022
@github-actions github-actions bot removed the awaiting-CI The author would like to see what CI has to say before doing more work. label Aug 8, 2022
@j-loreaux j-loreaux changed the title feat(analysis/normed_space/lp_equiv): equivalences between lp and pi_Lp feat(analysis/normed_space/lp_equiv): equivalences between lp and pi_Lp, bounded_continuous_function Aug 9, 2022
@mathlib-dependent-issues-bot mathlib-dependent-issues-bot removed the blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. label Aug 16, 2022
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sgouezel
sgouezel reviewed Sep 30, 2022
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@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Oct 13, 2022
bors bot pushed a commit that referenced this pull request Oct 13, 2022
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feat(analysis/normed_space/lp_equiv): equivalences between lp and `…
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…pi_Lp`, `bounded_continuous_function` (#15872)

This adds a new file for equivalences between various L^p spaces. We do this in a new file instead of `analysis/normed_space/lp_space` in order to minimize imports. We begin by establishing the equivalence between `lp` and `pi_Lp` when the index type is a fintype, and then proceed to recognize the equivalence between `lp` (for `p = ∞`) and `bounded_continuous_function` when the codomain has various algebraic structures.

- [x] depends on: #15833
- [x] depends on: #15852
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Pull request successfully merged into master.

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@bors bors bot changed the title feat(analysis/normed_space/lp_equiv): equivalences between lp and pi_Lp, bounded_continuous_function [Merged by Bors] - feat(analysis/normed_space/lp_equiv): equivalences between lp and pi_Lp, bounded_continuous_function Oct 13, 2022
@bors bors bot closed this Oct 13, 2022
@bors bors bot deleted the j-loreaux/equiv_lp_pi_Lp branch October 13, 2022 17:56
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